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Finding the Fourth Proportional to 1,010,990,687.10, 1,516,486,030.65 and 1,010,990,687.10

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Solution

The fourth proportional to 1,010,990,687.10, 1,516,486,030.65 and 1,010,990,687.10 is: 1,516,486,030.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,990,687.10 : 1,516,486,030.65 = 1,010,990,687.10 : x
  2. Step 2: Convert to fraction form
    1,010,990,687.10/1,516,486,030.65 = 1,010,990,687.10/x
  3. Step 3: Cross multiply
    1,010,990,687.10x = 1,516,486,030.65 × 1,010,990,687.10
  4. Step 4: Simplify right side
    1,010,990,687.10x = 1,533,153,254,104,395,264
  5. Step 5: Solve for x
    x = 1,533,153,254,104,395,264/1,010,990,687.10
  6. Step 6: Final answer
    x = 1,516,486,030.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.